Holomorphic vector fields on compact Kähler manifolds.

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Bibliographic Details
Author / Creator:Matsushima, Yozō, 1921-1983
Imprint:Providence, R.I., Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society [1971]
Description:vi, 38 p. 26 cm.
Language:English
Series:Regional conference series in mathematics no. 7
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/3984470
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ISBN:082181656X
Notes:"Expository Lectures from CBMS regional conference held at Michigan State University, East Lansing, Michigan, June 15-19, 1970."
Bibliography: p. 37-38.
Table of Contents:
  • Kahler geometry Harmonic forms The 1-form of type $(0, 1)$ corresponding to a holomorphic vector field Laplacian $\Delta_f^{{\prime\prime}}$ An integral formula
  • The case $C_1(M)\leq 0$
  • The case $C_1(M)\geq 0$ Study of $\mathbf a_f$ Theorems of Lichnerowicz
  • A remark on holomorphic vector fields on projective algebraic manifolds
  • The Albanese variety of a Kahler manifold and the Jacobi map
  • The case of Hodge manifolds $G$-sheaves
  • The action of Aut$_0(M)$ on complex line bundles over $M$
  • The Lie derivative of a complex line bundle
  • The kernel of the homomorphism $p_F$ Proof of the Blanchard Theorem
  • Bibliography